In this Letter we study large deviation lower bounds for space-time empiric
al processes of spin particle systems with possibly vanishing spin flip rat
es. We present an approach for obtaining such lower bounds for systems star
ting from almost all configurations w.r.t. an translation invariant and ext
remal invariant measure of the systems, so that in such cases we have full
large deviation principle. (C) 2001 Elsevier Science B.V All rights reserve
d.